On the ultimate accuracy of solar oscillation frequency measurements

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Background Noise, Frequency Measurement, Solar Oscillations, Accuracy, Helioseismology, Maximum Likelihood Estimates, Signal To Noise Ratios

Scientific paper

If one assumes that solar p- and f-mode oscillations are stochastically excited, then the measured mode properties and solar background noise can be used to calculate maximum-likelihood uncertainties in mode frequency measurements for a given observation time. It should be possible with a 3-yr continuous observation to measure individual mode frequencies to accuracies as high as a factor of about 5 times better than current best one-season measurements. The most precise measurements should be for low-l modes in the 1-2 mHz range, and the longest periods observable in a 3-yr observation will be approximately 20 minutes. These fundamental limitations in the eventual accuracy of p-mode frequency measurements are set by the solar background noise and the stochastic nature of the driving mechanism.

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